Fix pulling mispredicts (#22941)

* Fix pulling mispredicts

* Make behaviour consistent

* Good ol terminating entities

Content.Shared/Pulling/Systems/SharedPullingSystem.Actions.cs

@@ -12,6 +12,8 @@ using Robust.Shared.Map;
 using Robust.Shared.Physics;
 using Robust.Shared.Physics.Components;
 using Robust.Shared.Physics.Systems;
+using Robust.Shared.Timing;
+using Robust.Shared.Utility;
 
 namespace Content.Shared.Pulling
 {
@@ -23,6 +25,7 @@ namespace Content.Shared.Pulling
         [Dependency] private readonly SharedInteractionSystem _interaction = default!;
         [Dependency] private readonly SharedPhysicsSystem _physics = default!;
         [Dependency] private readonly ISharedAdminLogManager _adminLogger = default!;
+        [Dependency] private readonly IGameTiming _timing = default!;
 
         public bool CanPull(EntityUid puller, EntityUid pulled)
         {
@@ -90,6 +93,9 @@ namespace Content.Shared.Pulling
 
         public bool TryStopPull(SharedPullableComponent pullable, EntityUid? user = null)
         {
+            if (_timing.ApplyingState)
+                return false;
+
             if (!pullable.BeingPulled)
             {
                 return false;
@@ -127,6 +133,9 @@ namespace Content.Shared.Pulling
         // The main "start pulling" function.
         public bool TryStartPull(SharedPullerComponent puller, SharedPullableComponent pullable)
         {
+            if (_timing.ApplyingState)
+                return false;
+
             if (puller.Pulling == pullable.Owner)
                 return true;